Vibration of Axially Loaded Rotating Cross-Ply Laminated Cylindrical Shells via Ritz Method
Publication: Journal of Engineering Mechanics
Volume 128, Issue 9
Abstract
This paper presents the free vibration analysis of axially loaded rotating cross-ply laminated cylindrical shells with the consideration of the effects of centrifugal and Coriolis forces as well as the initial hoop tension due to the rotation. The Ritz method is employed for the solution of this problem. Adopting the trigonometric series as the admissible displacement functions, a set of frequency characteristics equations is derived. The frequency characteristic analysis for shells of simply supported boundary conditions is examined and the frequency characteristics of various lamination schemes are investigated. The results from the present analysis are compared with the available solutions to validate its accuracy.
Get full access to this article
View all available purchase options and get full access to this article.
References
Bryan, G. H.(1890). “On the beats in the vibration of a revolving cylinder or bell.” Proc. Cambridge Philos. Soc., 7, 101–111.
DiTaranto, R. A., and Lessen, M.(1964). “Coriolis acceleration effect on the vibration of a rotating thin-walled circular cylinder.” ASME J. Appl. Mech., 31, 700–701.
dos Reis, H. L. M., Goldman, R. B., and Verstrate, P. H.(1987). “Thin-walled laminated composite cylindrical tubes: Part III—critical speed analysis.” J. Compos. Technol. Res., 9, 58–62.
Huang, S. C., and Hsu, B. S.(1990). “Resonance phenomena of a rotating cylindrical shell subjected to a harmonic moving load.” J. Sound Vib., 136, 215–228.
Huang, S. C., and Soedel, W.(1988). “Effects of Coriolis acceleration on the forced vibration of rotating cylindrical shells.” ASME J. Appl. Mech., 55, 231–233.
Kim, C. D., and Bert, C. W.(1993). “Critical speed analysis of laminated composite, hollow drive shafts.” Composites Eng., 3, 633–643.
Lam, K. Y., and Loy, C. T.(1995). “Analysis of rotating laminated cylindrical shells by different thin shell theories.” J. Sound Vib., 186, 23–35.
Ng, T. Y., and Lam, K. Y.(1999). “Vibration and critical speed of a rotating cylindrical shell subjected to axial loading.” Appl. Acoustics, 56, 273–282.
Rand, O., and Stavsky, Y.(1991). “Free vibrations of spinning composite cylindrical shells.” Int. J. Solids Struct., 28, 831–843.
Srinivasan, A. V., and Lauterbach, G. F.(1971). “Traveling waves in rotating cylindrical shells.” J. Eng. Ind., 93, 1229–1232.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, 2nd ed., McGraw-Hill, New York.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 128 • Issue 9 • September 2002
Pages: 1001 - 1007
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: May 25, 2001
Accepted: Jan 23, 2002
Published online: Aug 15, 2002
Published in print: Sep 2002
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.